11971660800 has 528 divisors, whose sum is σ = 44446298112. Its totient is φ = 2816409600.

The previous prime is 11971660787. The next prime is 11971660823. The reversal of 11971660800 is 806617911.

It is a tau number, because it is divible by the number of its divisors (528).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31257409 + ... + 31257791.

Almost surely, 2^11971660800 is an apocalyptic number.

11971660800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11971660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22223149056).

11971660800 is an abundant number, since it is smaller than the sum of its proper divisors (32474637312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11971660800 is a wasteful number, since it uses less digits than its factorization.

11971660800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

The spelling of 11971660800 in words is "eleven billion, nine hundred seventy-one million, six hundred sixty thousand, eight hundred".